Literature
- P. T. Johnstone, Stone Spaces, Cambridge Studies in Advanced Mathematics 3, Cambridge University Press, Cambridge, 1982. (ISBN 0-521-23893-5)
- Still a great resource on locales and complete Heyting algebras.
- G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove, and D. S. Scott, Continuous Lattices and Domains, In Encyclopedia of Mathematics and its Applications, Vol. 93, Cambridge University Press, 2003. ISBN 0-521-80338-1
- Includes the characterization in terms of meet continuity.
- Francis Borceux: Handbook of Categorical Algebra III, volume 52 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, 1994.
- Surprisingly extensive resource on locales and Heyting algebras. Takes a more categorical viewpoint.
- Steven Vickers, Topology via logic, Cambridge University Press, 1989, ISBN 0-521-36062-5.
Read more about this topic: Complete Heyting Algebra
Famous quotes containing the word literature:
“But it is fit that the Past should be dark; though the darkness is not so much a quality of the past as of tradition. It is not a distance of time, but a distance of relation, which makes thus dusky its memorials. What is near to the heart of this generation is fair and bright still. Greece lies outspread fair and sunshiny in floods of light, for there is the sun and daylight in her literature and art. Homer does not allow us to forget that the sun shone,nor Phidias, nor the Parthenon.”
—Henry David Thoreau (18171862)
“Most literature on the culture of adolescence focuses on peer pressure as a negative force. Warnings about the wrong crowd read like tornado alerts in parent manuals. . . . It is a relative term that means different things in different places. In Fort Wayne, for example, the wrong crowd meant hanging out with liberal Democrats. In Connecticut, it meant kids who werent planning to get a Ph.D. from Yale.”
—Mary Kay Blakely (20th century)
“The struggle of literature is in fact a struggle to escape from the confines of language; it stretches out from the utmost limits of what can be said; what stirs literature is the call and attraction of what is not in the dictionary.”
—Italo Calvino (19231985)